33,640 research outputs found

    Coefficient of tangential restitution for the linear dashpot model

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    The linear dashpot model for the inelastic normal force between colliding spheres leads to a constant coefficient of normal restitution, Ï”n=\epsilon_n=const., which makes this model very popular for the investigation of dilute and moderately dense granular systems. For two frequently used models for the tangential interaction force we determine the coefficient of tangential restitution Ï”t\epsilon_t, both analytically and by numerical integration of Newton's equation. Although Ï”n=\epsilon_n=const. for the linear-dashpot model, we obtain pronounced and characteristic dependencies of the tangential coefficient on the impact velocity Ï”t=Ï”t(g⃗)\epsilon_t=\epsilon_t(\vec{g}). The results may be used for event-driven simulations of granular systems of frictional particles.Comment: 12 pages, 12 figure

    Space--Time Tradeoffs for Subset Sum: An Improved Worst Case Algorithm

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    The technique of Schroeppel and Shamir (SICOMP, 1981) has long been the most efficient way to trade space against time for the SUBSET SUM problem. In the random-instance setting, however, improved tradeoffs exist. In particular, the recently discovered dissection method of Dinur et al. (CRYPTO 2012) yields a significantly improved space--time tradeoff curve for instances with strong randomness properties. Our main result is that these strong randomness assumptions can be removed, obtaining the same space--time tradeoffs in the worst case. We also show that for small space usage the dissection algorithm can be almost fully parallelized. Our strategy for dealing with arbitrary instances is to instead inject the randomness into the dissection process itself by working over a carefully selected but random composite modulus, and to introduce explicit space--time controls into the algorithm by means of a "bailout mechanism"

    State education as high-yield investment: human capital theory in European policy discourse

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    Human Capital Theory has been an increasingly important phenomenon in economic thought over the last 50 years. The central role it affords to education has become even more marked in recent years as the concept of the ‘knowledge economy’ has become a global concern. In this paper, the prevalence of Human Capital Theory within European educational policy discourse is explored. The paper examines a selection of policy documents from a number of disparate European national contexts and considers the extent to which the ideas of Human Capital Theory can be seen to be influential. In the second part of the paper, the implications of Human Capital Theory for education are considered, with a particular focus on the possible ramifications at a time of economic austerity. The paper argues that Human Capital Theory risks offering a diminished view of the person, a diminished view of education, but that with its sole focus on economic goals leaves room for educationists and others to argue for the educational, social, and moral values it ignores, and for the conception of the good life and good society it fails to mention

    X-ray observations of Algol

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    Observations of Algol using a solid state spectrometer onboard the Einstein Observatory are discussed. Two observations six months apart were made, both during a primary optical eclipse. No corresponding X-ray eclipses were seen. During the second observation the source was flaring and was on average a factor three brighter. The spectrum on both occasions was consistent with a two-component thermal equilibrium model with temperatures of approximately 7.5 and 40 million degrees. Attempts to insert a third component indicate the temperature distribution to be bimodal. Models for the X-ray emission are discussed and it is suggested that the emission most likely originates from an active corona surrounding the K star

    X-ray spectrum of Kepler's SNR

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    Observations made with the solid state spectrometer aboard the Einstein Observatory confirm Kepler's SNR as an X-ray source with an intensity between 1-3 KeV of 7.2 x 10 to the-11th power ergs/sq cm-s. The X-ray spectrum is similar to those of Cas A and Tycho, with strong line emission from the helium-like species of Si, S, and Ar. Direct comparisons to Tycho's SNR suggest a distance of Kepler's SNR of greater than or equal to 5 kpc

    Two sides of the same coin? The association between suicide stigma and suicide normalisation

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    Aims: Evidence suggests that suicide stigma (i.e. negative attitudes towards persons affected by suicide/suicidality) and suicide normalisation (i.e. liberal attitudes towards suicide) are both associated with increased suicide risk. Despite conceptual similarities and potential interaction, suicide stigma and suicide normalisation have usually been investigated separately. We used cross-sectional data from a community sample to test the association between suicide stigma and suicide normalisation as well as to identify their respective determinants and consequences. Methods: Participants were N = 3.269 adults recruited from an established online-panel using quotas to reflect the composition of the German general population with regard to age, gender, education and region. We collected information about suicide stigma, suicide normalisation, intentions to seek help for suicidality, current suicidality, suicide literacy, negative mood and socio-demographic variables. We used regression modelling to determine the association between suicide stigma and suicide normalisation as well as to identify their determinants and consequences

    Dominant particle-hole contributions to the phonon dynamics in the spinless one-dimensional Holstein model

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    In the spinless Holstein model at half-filling the coupling of electrons to phonons is responsible for a phase transition from a metallic state at small coupling to a Peierls distorted insulated state when the electron-phonon coupling exceeds a critical value. For the adiabatic case of small phonon frequencies, the transition is accompanied by a phonon softening at the Brillouin zone boundary whereas a hardening of the phonon mode occurs in the anti-adiabatic case. The phonon dynamics studied in this letter do not only reveal the expected renormalization of the phonon modes but also show remarkable additional contributions due to electronic particle-hole excitations.Comment: 7 pages, 4 figures and 1 table included; v2: discussion of Luttinger liquid parameters adde
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